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Volume Information Source: Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 95, No. 665 (Sep. 2, 1918), pp. i-vi Published by: The Royal Society Stable URL: http://www.jstor.org/stable/93644 . Accessed: 03/05/2014 16:58 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp . JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. . The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. http://www.jstor.org This content downloaded from 130.132.123.28 on Sat, 3 May 2014 16:58:50 PM All use subject to JSTOR Terms and Conditions
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Page 1: Volume Information

Volume InformationSource: Proceedings of the Royal Society of London. Series A, Containing Papers of aMathematical and Physical Character, Vol. 95, No. 665 (Sep. 2, 1918), pp. i-viPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/93644 .

Accessed: 03/05/2014 16:58

Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at .http://www.jstor.org/page/info/about/policies/terms.jsp

.JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range ofcontent in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new formsof scholarship. For more information about JSTOR, please contact [email protected].

.

The Royal Society is collaborating with JSTOR to digitize, preserve and extend access to Proceedings of theRoyal Society of London. Series A, Containing Papers of a Mathematical and Physical Character.

http://www.jstor.org

This content downloaded from 130.132.123.28 on Sat, 3 May 2014 16:58:50 PMAll use subject to JSTOR Terms and Conditions

Page 2: Volume Information

PROCEE DING S

OF THE

ROYAL SOCIETY OF LONDON SERIES A

CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER.

VOL. XCV.

LONDON:

PRINTED FOP. THE ROYAL SOCIETY AND SOLD BY

HARRISON AND SONS, ST. MARTIN'S LANE, PRINTER$ IN ORDINARY TO HIS MAJESTY.

JULY, 1919.

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Page 3: Volume Information

LONDON

HARRISON ANI) SONS, PRINTERS IN ORDINARY TO HIS MAJESTY,

ST. MARTIN'S LANE.

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Page 4: Volume Information

CONTr E N T S.

SERIES A. VOL. XCIV.

No. A 665.-September 2, 1918. PAGE

Curved Beaus. By James J. Guest, University College, London. Communicated by Prof. W. E. Dalby, F.R.S ......................................... 1

On the Cesi"ro Convergence of Restricted Fourier Series. By W. H. Young, F.R.S. 22

On the Electrical Resolution and Broadening of Helium Lines. By Thomas R. Merton, D.Sc., Lecturer in Spectroscopy at the University of London, King's College. Communicated by Prof. A. Fowler, F.R.S ..................................... .30

Periodic Irrotational Waves of Finite Height. By T. H. Havelock, F.R.S. 38

Experiments oni the Effect of the Vibration of a Stretched Wire forming Part of a Closed Electric Circuit. By Adiniral Sir Henry Jackson, G.C.-B., F.R.S .51

The Diamagnetisnm of Hydrogen anld the Value of the Magneton. By Major A. E. Oxley, R.F.C., M.A., D.Sc. Communicated by Prof. J. W. Nicholson, F.R.S.' 58

No. A 666.-October 7, 1918.

An Outline of a Theory of Magnetic Stormns. By S. Chapman, M.A., D.Sc., Fellow and Lecturer of Trinity College, Cambridge, and Chief Assistant at the Royal Observatory, Greenwich. Communicated by Sir F. W. Dyson, F.R.S., Astronomer Royal .61

The Diffraction of Electric 'Waves by the Earth. By G. N. Watson, Sc.D., D.Sc., Assistant Professor of Pure Mathematics at University College, London. Communicated by Prof. J. W. Nicholson, F.R.S. 83

Note on the Effect of Wind Pressure on the Pitch of Organ Pipes. By A. Mallock, F.R.S .99

The Periods of Lateral Vibration of Loaded Shafts.-The Rational Derivation of Dunkerley's Empirical Rule for Determining Whirling Speeds. By H. H. Jeffcott, B.A., B.A.I., Professor of Engineering, Roval College of Science for Ireland. Commtunicated by Prof. W. McF. Orr, F.R.S . ............... 106

On the Spectrum of Cadnmium in the Inactive Gases. By J. N. Collie, F.R.S., and H. E. Watson, DS.. 115

Further Experiments on Spontaneous Generationi of Heat in Recently Hardened Steel. By Charles F. Brtush, Sir Robert A. Hadfield, Bt., F.R.S., and S. A. Main, B.Sc ..................................................................... 120

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Page 5: Volume Information

iv

PAGE No. A 667.-Novemnber 7, 1918.

Sounds Produced by Drops Falling on Water. By A. Mallock, F.R.S. (Plate 1)... 138

On the Coefficients in the Exppansions of Certaini Modular Functions. By G. H. Hardy, F.R.S., and S. Ramanujan, F.R.S. ................. ............................... 144

The Light Scattered by Gases: its Polarisation and Intensity. By the Hon. R. J. Strutt, F.R.S., Professor of Physics, Imperial College, South Kensington. (IPlate 2) ............................................. 155

No. A 668.-January 1, 1919.

On Haidinger's Rings in Mica. By T. K. Chinmayanandam, M.A. (Hons.). Com- municated by Dr. Gilbert T. Walker, C.S.I., D.Sc., F.R.S. ................... ........ 176

The Thermal Conductivity of A.ir. By E. 0. Hercus, M.Sc., New Zealand Government Research Scholar, and T. H. Laby, Mf.A., Professor of Natural Philosophy, University of Melbourne. Comimunicated by Sir Joseph Larmor, F.R.S .. 190

Electric Potential Gradient and Atnmosplheric Opacity at Kew Observatory. By C. Chree, Sc.D., LL.D., F.R.S ....... ........................................................ 210

On the Nature of Sun-Spots. By George E. Hale, For. Mem. R.S. (Abstract) . 234

On Non-harmlonic Trigonometrical Series. By Prof. W. H. Young, Sc.D)., F.R.S .... 237

No. A 669.-February 1, 1919.

Address of the President, Sir J. J. Thomson, O.M., at the Anniversary Meeting, November 30, 1918 . .................................................................... 250

An Investigation of Extreme Ultra-violet Spectra, with a Vacuum-grating Spectro- graph. By J. C. McLennan, F.R.S., and Mr. R. J. Lang, M.A., University of Toronto. (Plate 3) . .................................................................... 258

On the Absorption Spectra anid the lonisation Potentials of Calcium, Strontiumn, and Barium. By J. C. McLennan, F.R.S., and J. F. T. Young, M.A., IJniversity of Toronto. (Plates 4-6) ........................ ............................. 273

Emission and Absorption in the Infra-red Spectra of Mercury, Zinc, and Cadmlium. By Raymond C. Dearle, M.A., University of Torointo. Communicated by Prof. J. C. MeLennan, F.R.S ........................ 280

On the Value of the Secular Acceleration of the Meani Longitude of the Moon. By E. Nevill, F.R.S ........................ 300

A Study of the Forms assumed by Drops and Vortices of a GelatinisiDg Liquid in Various Coagulating Solutionis. By Emil Hatschek. Communicated by Prof. D'Arcy Thompson, F.R.S ........................ 303

No. A 670.-March 15, 1919.

Vacuium Arc Spectra of various Elements in the Extreme Ultra-violet. By Prof. J. C. McLennan, F.R.S. ; D. S. Ainslie, M.A.; and D. S. Fuller, M.A., University of Toronto. (Plates 7-10) ............................. 316

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Page 6: Volume Information

V

PAGE

An Investigation of the lonising Power of the Positive Ions fromn a Glowing Tantalum Filament in Helium. By Frank Horton, Sc.D., Professor of Physics in the University of London, and Ann Catherine Davies, M.Sc., Royal Holloway College, Englefield Green. Communicated by Mr. C. T. R. Wilson, F.R.S .................................................................... 333

Wave Resistailce: Some Cases of Three-dimensional Fluid Motion. By T. H. Havelock, F.R.S. ........... 354

Experiments Demonstrating an Electrical Effect in Vibrating Metals. By Admiral Sir H. B. Jackson, G.C.B., F.R.S., and G. B. Bryan, D.Sc . ............... 366

No. A 671.-April 1, 1919. Chances of Loss of Merchant Ships. By W. S. Abell, Chief Ship Surveyor,

Lloyd's Register of Shipping Communicated by Prof. W. Burnside, F.R.S. ... 38 3

Contribution to the Theory of Attraction when the Force Varies as any Power of the Distance. By Major P. A. MacMahon, F.R.S., and H. B. C. Darling ...... 390

On the Cause of Hierarchical Order among the Correlation Coefficients of a Number of Var iates Taken in Pairs. By Godfrey H. Thomson, D.Sc., Armstrong College, in the University of Durham. Communicated by Prof. T. H. Havelock, F.R.S ..................................................................... 400

An Experimental Determnination of the Jonisation Potential for Electrons in Helium. , By Frank Horton, Sc.D., Professor of Physics in the University of London, and Ann Catherine Davies, M.Sc., Royal Holloway College, Englefield Green. Communicated by Mr. C. T. R. Wilson, F.R.S. ......... ..................... 408

Note on the Elasticity of Metals as Affected by Temperature. By A. Mallock, F.R.S ..................................................................... 429

No. A 672.-June 4, 1919.

On the Arc Spectrum of Scandium. By Sir William Crookes, O.M., D.Sc., F.R.S. (Plate 11) ................................................................. 438

Vibration and Srength of Struts and Continuous Beamns under End Thrusts. By W. L. Cowley, A.R.C.Sc., D.I.C., and H. Levy, M.A., B.Sc., F.R.S E. Com- municated by Sir R. Glazebrook, F.R.S .1................................................... 440

Two-dimensional Solutions of Poisson's and Laplace's Equationls. Part I.-By Leonard Bairstow, F.R.S., C.B.E. Part II.-By Arthur Berry, M.A., Fellow of King's College, Cambridge ................................................................. 457

Scattering of Light by Solid Substances. By the Hon. R. J. Strutt, F.R.S., Imperial College, South Kensington. (Plate 12) ............. .......................... 476

A New Method of Weighing Colloidal Particles. By E. F. Burton, Ph.D., Associate Professor of Physics, University of Toronto. Communicated by Prof. J. C. McLennan, F.R.S ................................................................. 480

The Constitution of Sulphur Vapour. By Sir James J. Dobbie, F.R.S., and J. J. Fox, M.B.E., D.Sc. (Plates 13 and 14) ................ ............................. 484

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Page 7: Volume Information

PAGE

No. A 673.-July 15, 1919.

An Apparatus for the Direct Determination of Accelerations. By the late Prince B. Galitzin, For.Mem.R.S ................................................................... 49

On the Explosion at Okhta. By the late Prince B. Galitzin, For.Mem.R.S. ......... 508

The Two-Dimensional Motion of a Plane Lamnina in a Resisting Medium. By S. Brodetsky, M.A., Ph.D. Comml-uniicated by Prof. G. H. Bryan, F.R.PS. ...... 5163

A New Method for the AbsoluLte Determiination of Frequen(cy. By Ashutosh Dey, with a Prefatory Note and an Appendix by C. V. Raman, M.A., Palit Professor of Physics in the Calcutta University. Communicated bv Dr. Gilbert T. Walker, C.S.I., Sc.D., F.R S . ................................................ 533'

The Transmission of Electric Waves riound the Earth. By G. N. Watson, Sc.D., D.Sc., Professor of Mathematics in the University of Birmingham. Com- municated by Prof. J. W. Nicholson, F.R.S . .............................................. 540

OBITUAERY NOTICES OF FELLOWS DECEASED.

Keith Lucas (with portrait); Hugo Muller (with portrait); Bertram Hopkinsoin (with portrait) ............. i-xxxvn

Index ............. xxxvii

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